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Finding the Fourth Proportional to 12,417.62, 18,624.42 and 3,409.63

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Solution

The fourth proportional to 12,417.62, 18,624.42 and 3,409.63 is: 5,113.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417.62 : 18,624.42 = 3,409.63 : x
  2. Step 2: Convert to fraction form
    12,417.62/18,624.42 = 3,409.63/x
  3. Step 3: Cross multiply
    12,417.62x = 18,624.42 × 3,409.63
  4. Step 4: Simplify right side
    12,417.62x = 63,502,334.60
  5. Step 5: Solve for x
    x = 63,502,334.60/12,417.62
  6. Step 6: Final answer
    x = 5,113.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.